The functions f and g are defined as follows. f(x)= 1/(x+2)

g(x)= square root of: (x-1)

(a)
State which value of x cannot be included in the domain of f.

(b)
Find the inverse of g(x)

(c) Calculate fg(10)

x != -2, x^2 + 1, 1/5

Step-by-step explanation:

(a) It can be understood that nothing can divide 0

thus denominator cannot be 0 meaning x cannot be -2.

(-2 + 2) = 0

(b) y = sqrt(x-1)

inverse meaning we make x the subject

square both sides

y^2 = x - 1

y^2 + 1 = x

inverse = x^2 + 1

(c) composite function:

pass g(10) as domain of f

g(10) = 3, f(3) = 1/(5) = 1/5

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply